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Finding the Fourth Proportional to 3,797.53, 5,698.05 and 1,456.75

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Solution

The fourth proportional to 3,797.53, 5,698.05 and 1,456.75 is: 2,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.53 : 5,698.05 = 1,456.75 : x
  2. Step 2: Convert to fraction form
    3,797.53/5,698.05 = 1,456.75/x
  3. Step 3: Cross multiply
    3,797.53x = 5,698.05 × 1,456.75
  4. Step 4: Simplify right side
    3,797.53x = 8,300,636.00
  5. Step 5: Solve for x
    x = 8,300,636.00/3,797.53
  6. Step 6: Final answer
    x = 2,185.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.